{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Piecewise Exponential models and creating custom models\n",
    "\n",
    "This section will be easier if we recall our three mathematical \"creatures\" and the relationships between them. First is the survival function, $S(t)$, that represents the probability of living past some time, $t$. Next is the _always non-negative and non-dereasing_ cumulative hazard function, $H(t)$. Its relation to $S(t)$ is:\n",
    "\n",
    "$$ S(t) = \\exp\\left(-H(t)\\right)$$\n",
    "\n",
    "Finally, the hazard function, $h(t)$, is the derivative of the cumulative hazard: \n",
    "\n",
    "$$h(t) = \\frac{dH(t)}{dt}$$\n",
    "\n",
    "which has the immediate relation to the survival function:\n",
    "\n",
    "$$S(t) = \\exp\\left(-\\int_{0}^t h(s) ds\\right)$$\n",
    "\n",
    "Notice that any of the three absolutely defines the other two. Some situations make it easier to define one vs the others. For example, in the Cox model, it's easist to work with the hazard, $h(t)$. In this section on parametric univariate models, it'll be easiest to work with the cumulative hazard. This is because of an asymmetry in math: derivatives are much easier to compute that integrals. So, if we define the cumulative hazard, both the hazard and survival function are much easier to reason about vs if we define the hazard and ask questions about the other two. At first, it may be easier to think about the hazard, and that's fine, but so long as we are clever enough to also determine the cumulative hazard, then we can ride the computational train. This will be clear by the end of the tutorial. \n",
    "\n",
    "First, let's revisit some simplier parametric models. \n",
    "\n",
    "#### The Exponential model\n",
    "\n",
    "Recall that the Exponential model has a constant hazard, that is:\n",
    "\n",
    "$$ h(t) = \\frac{1}{\\lambda} $$\n",
    "\n",
    "which implies that the cumulative hazard, $H(t)$, has a pretty simple form: $H(t) = \\frac{t}{\\lambda}$. Below we fit this model to some survival data. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from lifelines.datasets import load_waltons\n",
    "waltons = load_waltons()\n",
    "T, E = waltons['T'], waltons['E']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<lifelines.ExponentialFitter: fitted with 163 observations, 7 censored>\n",
      "number of subjects = 163\n",
      "  number of events = 156\n",
      "    log-likelihood = -771.913\n",
      "        hypothesis = lambda_ != 1\n",
      "\n",
      "---\n",
      "          coef  se(coef)  lower 0.95  upper 0.95       p  -log2(p)\n",
      "lambda_ 51.831     4.149      43.699      59.963 <0.0005   112.218\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 263,
       "width": 609
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from lifelines import ExponentialFitter\n",
    "\n",
    "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(10, 4))\n",
    "\n",
    "epf = ExponentialFitter().fit(T, E)\n",
    "epf.plot_hazard(ax=ax[0])\n",
    "epf.plot_cumulative_hazard(ax=ax[1])\n",
    "\n",
    "ax[0].set_title(\"hazard\"); ax[1].set_title(\"cumulative_hazard\")\n",
    "\n",
    "epf.print_summary(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This model does a poor job of fitting to our data. If I fit a _non-parametric_ model, like the Nelson-Aalen model, to this data, the lack of fit is very obvious. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11d3676a0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 317,
       "width": 475
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from lifelines import NelsonAalenFitter\n",
    "\n",
    "ax = epf.plot(figsize=(8,5))\n",
    "\n",
    "naf = NelsonAalenFitter().fit(T, E)\n",
    "ax = naf.plot(ax=ax)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It should be clear that the single parameter model is just averaging the hazards over the entire time period. In reality though, the true hazard rate exhibits some complex non-linear behaviour.\n",
    "\n",
    "#### Piecewise Exponential models\n",
    "\n",
    "What if we could break out model into different time periods, and fit an exponential model to each of those? For example, we define the hazard as:\n",
    "\n",
    "$$ \n",
    "h(t) = \\begin{cases}\n",
    "        \\lambda_0,  & \\text{if $t \\le \\tau_0$} \\\\\n",
    "        \\lambda_1 & \\text{if $\\tau_0 < t \\le \\tau_1$} \\\\\n",
    "        \\lambda_2 & \\text{if $\\tau_1 < t \\le \\tau_2$} \\\\\n",
    "        ... \n",
    "      \\end{cases}\n",
    "$$\n",
    "\n",
    "This model should be flexible enough to fit better to our dataset. \n",
    "\n",
    "The cumulative hazard is only slightly more complicated, but not too much and can still be defined in Python. In _lifelines_, univariate models are constructed such that one _only_ needs to define the cumulative hazard model with the parameters of interest, and all the hard work of fitting, creating confidence intervals, plotting, etc. is taken care. \n",
    "\n",
    "For example, _lifelines_ has implemented the `PiecewiseExponentialFitter` model. Internally, the code is a single function that defines the cumulative hazard. The user specifies where they believe the \"breaks\" are, and _lifelines_ estimates the best $\\lambda_i$. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<lifelines.PiecewiseExponentialFitter: fitted with 163 observations, 7 censored>\n",
      "number of subjects = 163\n",
      "  number of events = 156\n",
      "    log-likelihood = -647.118\n",
      "        hypothesis = lambda_0_ != 1, lambda_1_ != 1, lambda_2_ != 1\n",
      "\n",
      "---\n",
      "             coef  se(coef)  lower 0.95  upper 0.95       p  -log2(p)\n",
      "lambda_0_ 162.989    27.144     109.787     216.191 <0.0005    28.630\n",
      "lambda_1_  31.366     4.043      23.442      39.290 <0.0005    43.957\n",
      "lambda_2_   4.686     0.624       3.462       5.910 <0.0005    28.055\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 277,
       "width": 603
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from lifelines import PiecewiseExponentialFitter\n",
    "\n",
    "# looking at the above plot, I think there may be breaks at t=40 and t=60. \n",
    "pf = PiecewiseExponentialFitter(breakpoints=[40, 60]).fit(T, E)\n",
    "\n",
    "fig, axs = plt.subplots(nrows=1, ncols=2, figsize=(10, 4))\n",
    "\n",
    "ax = pf.plot(ax=axs[1])\n",
    "pf.plot_hazard(ax=axs[0])\n",
    "\n",
    "ax = naf.plot(ax=ax, ci_show=False)\n",
    "axs[0].set_title(\"hazard\"); axs[1].set_title(\"cumulative_hazard\")\n",
    "\n",
    "pf.print_summary(3)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see a much better fit in this model. A quantitative measure of better fit is to compare the log-likelihood  mthe exponential model and the piecewise exponential model (higher is better). The log-likelihood went from -772 to -647, respectively. We could keep going and add more and more breakpoints, but that would end up overfitting to the data. \n",
    "\n",
    "#### Univarite models in _lifelines_\n",
    "\n",
    "I mentioned that the `PiecewiseExponentialFitter` was implemented using only its cumulative hazard function. This is not a lie. _lifelines_ has very general semantics for univariate fitters. For example, this is how the entire `ExponentialFitter` is implemented:\n",
    "\n",
    "```python\n",
    "class ExponentialFitter(ParametericUnivariateFitter):\n",
    "\n",
    "    _fitted_parameter_names = [\"lambda_\"]\n",
    "\n",
    "    def _cumulative_hazard(self, params, times):\n",
    "        lambda_ = params[0]\n",
    "        return lambda_ * times\n",
    "```\n",
    "\n",
    "We only need to specify the cumulative hazard function because of the 1-1 relationship between the cumulative hazard function and the survival function and the hazard rate. From there, _lifelines_ handles the rest. \n",
    "\n",
    "\n",
    "#### Defining our own survival models\n",
    "\n",
    "\n",
    "To show off the flexability of _lifelines_ univariate models, we'll create a brand new, never before seen, survival model. Looking at the Nelson-Aalen fit, the cumulative hazard looks looks like their might be an asymptote at $t=80$. This may correspond to an absolute upper limit of subjects' lives. Let's start with that functional form.\n",
    "\n",
    "$$ H_1(t; \\alpha) = \\frac{\\alpha}{(80 - t)} $$\n",
    "\n",
    "We subscript $1$ because we'll investigate other models. In a _lifelines_ univariate model, this is defined in the following code. \n",
    "\n",
    "**Important**: in order to compute derivatives, you must use the numpy imported from the `autograd` library. This is a thin wrapper around the original numpy. Note the `import autograd.numpy as np` below. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from lifelines.fitters import ParametericUnivariateFitter\n",
    "\n",
    "import autograd.numpy as np\n",
    "\n",
    "class InverseTimeHazardFitter(ParametericUnivariateFitter):\n",
    "    \n",
    "    \n",
    "    # we tell the model what we want the names of the unknown parameters to be\n",
    "    _fitted_parameter_names = ['alpha_']\n",
    "\n",
    "    \n",
    "    # this is the only function we need to define. It always takes two arguments:\n",
    "    #   params: an iterable that unpacks the parameters you'll need in the order of _fitted_parameter_names\n",
    "    #   times: avector of times that will be passed in.\n",
    "    def _cumulative_hazard(self, params, times):\n",
    "        alpha = params[0]\n",
    "        return alpha /(80 - times)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<lifelines.InverseTimeHazardFitter: fitted with 163 observations, 7 censored>\n",
      "number of subjects = 163\n",
      "  number of events = 156\n",
      "    log-likelihood = -697.84\n",
      "        hypothesis = alpha_ != 1\n",
      "\n",
      "---\n",
      "        coef  se(coef)  lower 0.95  upper 0.95      p  -log2(p)\n",
      "alpha_ 21.51      1.72       18.13       24.88 <0.005    106.22\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11d6f4668>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 317,
       "width": 475
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "itf = InverseTimeHazardFitter()\n",
    "itf.fit(T, E)\n",
    "itf.print_summary()\n",
    "\n",
    "ax = itf.plot(figsize=(8,5))\n",
    "ax = naf.plot(ax=ax, ci_show=False)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The best fit of the model to the data is:\n",
    "\n",
    "$$H_1(t) = \\frac{21.51}{80-t}$$\n",
    "\n",
    "Our choice of 80 as an asymptote was maybe mistaken, so let's allow the asymptote to be another parameter:\n",
    "\n",
    "$$ H_2(t; \\alpha, \\beta) = \\frac{\\alpha}{\\beta-t} $$\n",
    "\n",
    "If we define the model this way, we need to add a bound to the values that $\\beta$ can take. Obviously it can't be smaller than or equal to the maximum observed duration. Generally, the cumulative hazard _must be positive and non-decreasing_. Otherwise the model fit will hit convergence problems. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "class TwoParamInverseTimeHazardFitter(ParametericUnivariateFitter):\n",
    "    \n",
    "    _fitted_parameter_names = ['alpha_', 'beta_']\n",
    "    \n",
    "    # Sequence of (min, max) pairs for each element in x. None is used to specify no bound\n",
    "    _bounds = [(0, None), (75.0001, None)]\n",
    "    \n",
    "    def _cumulative_hazard(self, params, times):\n",
    "        alpha, beta = params\n",
    "        return alpha / (beta - times)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<lifelines.TwoParamInverseTimeHazardFitter: fitted with 163 observations, 7 censored>\n",
      "number of subjects = 163\n",
      "  number of events = 156\n",
      "    log-likelihood = -685.57\n",
      "        hypothesis = alpha_ != 1, beta_ != 76\n",
      "\n",
      "---\n",
      "        coef  se(coef)  lower 0.95  upper 0.95      p  -log2(p)\n",
      "alpha_ 16.50      1.51       13.55       19.46 <0.005     79.98\n",
      "beta_  76.55      0.38       75.80       77.30   0.15      2.73\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11cc75be0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 317,
       "width": 482
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "two_f = TwoParamInverseTimeHazardFitter()\n",
    "two_f.fit(T, E)\n",
    "two_f.print_summary()\n",
    "\n",
    "ax = itf.plot(ci_show=False, figsize=(8,5))\n",
    "ax = naf.plot(ax=ax, ci_show=False)\n",
    "two_f.plot(ax=ax)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the output, we see that the value of 76.55 is the suggested asymptote, that is:\n",
    "\n",
    "$$H_2(t) = \\frac{16.50} {76.55  - t}$$\n",
    "\n",
    "The curve also appears to track against the Nelson-Aalen model better too. Let's try one additional parameter, $\\gamma$, some sort of measure of decay. \n",
    "\n",
    "$$H_3(t; \\alpha, \\beta, \\gamma) = \\frac{\\alpha}{(\\beta-t)^\\gamma} $$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from lifelines.fitters import ParametericUnivariateFitter\n",
    "\n",
    "class ThreeParamInverseTimeHazardFitter(ParametericUnivariateFitter):\n",
    "    \n",
    "    _fitted_parameter_names = ['alpha_', 'beta_', 'gamma_']\n",
    "    _bounds = [(0, None), (75.0001, None), (0, None)]\n",
    "    \n",
    "    # this is the only function we need to define. It always takes two arguments:\n",
    "    #   params: an iterable that unpacks the parameters you'll need in the order of _fitted_parameter_names\n",
    "    #   times: a numpy vector of times that will be passed in by the optimizer\n",
    "    def _cumulative_hazard(self, params, times):\n",
    "        a, b, c = params\n",
    "        return a / (b - times) ** c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<lifelines.ThreeParamInverseTimeHazardFitter: fitted with 163 observations, 7 censored>\n",
      "number of subjects = 163\n",
      "  number of events = 156\n",
      "    log-likelihood = -649.38\n",
      "        hypothesis = alpha_ != 1, beta_ != 76, gamma_ != 1\n",
      "\n",
      "---\n",
      "             coef   se(coef)  lower 0.95  upper 0.95      p  -log2(p)\n",
      "alpha_ 1588776.28 3775137.44 -5810357.13  8987909.70   0.67      0.57\n",
      "beta_      100.88       5.88       89.35      112.41 <0.005     15.38\n",
      "gamma_       3.83       0.50        2.85        4.81 <0.005     25.82\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11cc6c748>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 317,
       "width": 482
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "three_f = ThreeParamInverseTimeHazardFitter()\n",
    "three_f.fit(T, E)\n",
    "three_f.print_summary()\n",
    "\n",
    "ax = itf.plot(ci_show=False, figsize=(8,5))\n",
    "ax = naf.plot(ax=ax, ci_show=False)\n",
    "ax = two_f.plot(ax=ax, ci_show=False)\n",
    "ax = three_f.plot(ax=ax)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our new asymptote is at $t\\approx 100, \\text{c.i.}=(87, 112)$. The model appears to fit the early times better than the previous models as well, however our $\\alpha$ parameter has more uncertainty now. Continuing to add parameters isn't advisable, as we will overfit to the data. \n",
    "\n",
    "##### Why fit parametric models anyways?\n",
    "\n",
    "Taking a step back, we are fitting parameteric models and comparing them to the non-parametric Nelson-Aalen. Why not just always use the Nelson-Aalen model? \n",
    "\n",
    "1) Sometimes we have scientific motivations to use a parametric model. That is, using domain knowledge, we may know the system has a parametric model and we wish to fit to that model. \n",
    "\n",
    "2) In a parametric model, we are borrowing information from _all_ observations to determine the best parameters. To make this more clear, imagine take a single observation and changing it's value wildly. The fitted parameters would change as well. On the other hand, imagine doing the same for a non-parametric model. In this case, only the local survival function or hazard function would change. Because parametric models can borrow information from all observations, and there are much _fewer_ unknowns than a non-parametric model, parametric models are said to be more _statistical efficient._ \n",
    "\n",
    "3) Extrapolation: non-parametric models are not easily extended to values outside the observed data. On the other hand, parametric models have no problem with this. However, extrapolation outside observed values is a very dangerous activity. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 467,
       "width": 429
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(3, figsize=(7, 8), sharex=True)\n",
    "\n",
    "\n",
    "new_timeline = np.arange(0, 85)\n",
    "\n",
    "three_f = ThreeParamInverseTimeHazardFitter().fit(T, E, timeline=new_timeline)\n",
    "\n",
    "\n",
    "three_f.plot_hazard(label='hazard', ax=axs[0]).legend()\n",
    "three_f.plot_cumulative_hazard(label='cumulative hazard',  ax=axs[1]).legend()\n",
    "three_f.plot_survival_function(label='survival function',  ax=axs[2]).legend()\n",
    "\n",
    "fig.subplots_adjust(hspace=0)\n",
    "# Hide x labels and tick labels for all but bottom plot.\n",
    "for ax in axs:\n",
    "    ax.label_outer()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3-parameter Weibull distribution\n",
    "\n",
    "We can easily extend the built-in Weibull model (`lifelines.WeibullFitter`) to include a new _location_ parameter:\n",
    "\n",
    "$$ H(t) = \\left(\\frac{t - \\theta}{\\lambda}\\right)^\\rho $$\n",
    "\n",
    "(When $\\theta = 0$, this is just the 2-parameter case again). In *lifelines* custom models, this looks like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "import autograd.numpy as np\n",
    "from autograd.scipy.stats import norm\n",
    "\n",
    "# I'm shifting this to exaggerate the effect \n",
    "T = T + 10\n",
    "\n",
    "class ThreeParameterWeibullFitter(ParametericUnivariateFitter):\n",
    "\n",
    "    _fitted_parameter_names = [\"lambda_\", \"rho_\", \"theta_\"]\n",
    "    _bounds = [(0, None), (0, None), (0, T.min()-0.001)]\n",
    "\n",
    "    def _cumulative_hazard(self, params, times):\n",
    "        lambda_, rho_, theta_ = params\n",
    "        return ((times - theta_) / lambda_) ** rho_\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<lifelines.ThreeParameterWeibullFitter: fitted with 163 observations, 7 censored>\n",
      "number of subjects = 163\n",
      "  number of events = 156\n",
      "    log-likelihood = -666.71\n",
      "        hypothesis = lambda_ != 1, rho_ != 1, theta_ != 7\n",
      "\n",
      "---\n",
      "         coef  se(coef)  lower 0.95  upper 0.95      p  -log2(p)\n",
      "lambda_ 63.92      5.38       53.38       74.47 <0.005    102.58\n",
      "rho_     4.20      0.56        3.11        5.29 <0.005     26.67\n",
      "theta_   2.55      5.05       -7.35       12.45   0.28      1.83\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 317,
       "width": 475
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tpw = ThreeParameterWeibullFitter()\n",
    "tpw.fit(T, E)\n",
    "tpw.print_summary()\n",
    "ax = tpw.plot_cumulative_hazard(figsize=(8,5))\n",
    "ax = NelsonAalenFitter().fit(T, E).plot(ax=ax, ci_show=False)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Inverse Gaussian distribution\n",
    "\n",
    "The inverse Gaussian distribution is another popular model for survival analysis. Unlike other model, it's hazard does not asympotically converge to 0, allowing for a long tail of survival. Let's model this, using the same parameterization from [Wikipedia](https://en.wikipedia.org/wiki/Inverse_Gaussian_distribution)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from autograd.scipy.stats import norm\n",
    "\n",
    "\n",
    "class InverseGaussianFitter(ParametericUnivariateFitter):\n",
    "    _fitted_parameter_names = ['lambda_', 'mu_']\n",
    "    \n",
    "    def _cumulative_density(self, params, times):\n",
    "        mu_, lambda_ = params\n",
    "        v = norm.cdf(np.sqrt(lambda_ / times) * (times / mu_ - 1), loc=0, scale=1) + \\\n",
    "               np.exp(2 * lambda_ / mu_) * norm.cdf(-np.sqrt(lambda_ / times) * (times / mu_ + 1), loc=0, scale=1)\n",
    "        return v\n",
    "\n",
    "    def _cumulative_hazard(self, params, times):\n",
    "        return -np.log(1-self._cumulative_density(params, times))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<lifelines.InverseGaussianFitter: fitted with 432 observations, 318 censored>\n",
      "number of subjects = 432\n",
      "  number of events = 114\n",
      "    log-likelihood = -729.80\n",
      "        hypothesis = lambda_ != 1, mu_ != 1\n",
      "\n",
      "---\n",
      "           coef  se(coef)  lower 0.95  upper 0.95      p  -log2(p)\n",
      "lambda_ 7441.43   9296.67   -10779.69    25662.56   0.42      1.24\n",
      "mu_       47.86      3.31       41.38       54.35 <0.005    148.83\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11e567128>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 386
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from lifelines.datasets import load_rossi\n",
    "rossi = load_rossi()\n",
    "\n",
    "igf = InverseGaussianFitter()\n",
    "igf.fit(rossi['week'], rossi['arrest'], timeline=np.arange(1, 500))\n",
    "igf.print_summary()\n",
    "igf.plot_hazard()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Looking for more examples of what you can build?\n",
    "\n",
    "See other unique survival models in the docs on [time-lagged survival](Modelling time-lagged conversion rates.ipynb)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
